Diffusion to infinity for periodic orbits in meromorphic dynamics

Janina Kotus, and Grzegorz Świątek. "Diffusion to infinity for periodic orbits in meromorphic dynamics." Fundamenta Mathematicae 174.3 (2002): 263-269. <http://eudml.org/doc/282778>.

@article{JaninaKotus2002,
abstract = {A small perturbation of a rational function causes only a small perturbation of its periodic orbits. We show that the situation is different for transcendental maps. Namely, orbits may escape to infinity under small perturbations of parameters. We show examples where this "diffusion to infinity" occurs and prove certain conditions under which it does not.},
author = {Janina Kotus, Grzegorz Świątek},
journal = {Fundamenta Mathematicae},
keywords = {rational function; meromorphic function; perturbation; periodic orbit},
language = {eng},
number = {3},
pages = {263-269},
title = {Diffusion to infinity for periodic orbits in meromorphic dynamics},
url = {http://eudml.org/doc/282778},
volume = {174},
year = {2002},
}

TY - JOUR
AU - Janina Kotus
AU - Grzegorz Świątek
TI - Diffusion to infinity for periodic orbits in meromorphic dynamics
JO - Fundamenta Mathematicae
PY - 2002
VL - 174
IS - 3
SP - 263
EP - 269
AB - A small perturbation of a rational function causes only a small perturbation of its periodic orbits. We show that the situation is different for transcendental maps. Namely, orbits may escape to infinity under small perturbations of parameters. We show examples where this "diffusion to infinity" occurs and prove certain conditions under which it does not.
LA - eng
KW - rational function; meromorphic function; perturbation; periodic orbit
UR - http://eudml.org/doc/282778
ER -